Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(3x+54)+43x−5 (3x+\frac{5}{4})+\frac{4}{3}x-5

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Solve multi-step equations with fractional coefficientsright chevron icon

Full solution

Q. (3x+54)+43x−5 (3x+\frac{5}{4})+\frac{4}{3}x-5
  1. Combine Terms and Simplify: Combine like terms and simplify the expression.\newline(3x+54)+(43)x−5(3x + \frac{5}{4}) + (\frac{4}{3})x - 5\newline= 3x+(43)x+54−53x + (\frac{4}{3})x + \frac{5}{4} - 5
  2. Find Common Denominator: Find a common denominator for the fractions to combine them.\newlineCommon denominator for 44 and 33 is 1212.\newline(3x×44)+(43×33)x+(54×33)−(5×1212)(3x \times \frac{4}{4}) + (\frac{4}{3} \times \frac{3}{3})x + (\frac{5}{4} \times \frac{3}{3}) - (5 \times \frac{12}{12})\newline=(124)x+(123)x+1512−6012= (\frac{12}{4})x + (\frac{12}{3})x + \frac{15}{12} - \frac{60}{12}
  3. Simplify Fractions and Combine: Simplify the fractions and combine the xx terms.\newline(124)x+(123)x+1512−6012(\frac{12}{4})x + (\frac{12}{3})x + \frac{15}{12} - \frac{60}{12}\newline= 3x+4x+1512−60123x + 4x + \frac{15}{12} - \frac{60}{12}\newline= 7x+1512−60127x + \frac{15}{12} - \frac{60}{12}
  4. Subtract Numerical Fractions: Subtract the numerical fractions.\newline1512−6012\frac{15}{12} - \frac{60}{12}\newline= −4512-\frac{45}{12}\newline= −154-\frac{15}{4} (simplifying the fraction by dividing both numerator and denominator by 33)
  5. Combine X Terms and Fraction: Combine the xx terms and the numerical fraction.7x−1547x - \frac{15}{4}

More problems from Solve multi-step equations with fractional coefficients

Question
Write the sentence as an equation. \newline138 138 is equal to the quotient of w w and 30 30 \newlineType a slash ( / / ) if you want to use a division sign. \newline_____
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for x. \newline(27)x=−14(\frac{2}{7})x= -14 \newline x=x = ______
Get tutor helpright-arrow

Posted 3 months ago

Question
(85)x=32(\frac{8}{5})x= 32
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify. \newline2+22+2 \newline ______
Get tutor helpright-arrow

Posted 3 days ago

Question
Graph −27x+18y=54-27x+18y=54.
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate.\newline48.5−0.434=48.5-0.434=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate.\newline96.7−0.163=96.7-0.163=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate.\newline4.43−0.283=4.43-0.283=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate.\newline3.05−0.338=3.05-0.338=
Get tutor helpright-arrow

Posted 4 months ago

Question
Evaluate.\newline6.168−0.432=6.168-0.432=
Get tutor helpright-arrow

Posted 4 months ago

View all (108)